Can i install softwares in fedora in other partitions?

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You need to expand your root filesystem.

Your Fedora box is most likely using a system called LVM (logical volume management) on top of regular partitions. This provides awesome flexibility in situations like yours where space is running out.

Report back the output of fdisk -l to see what we're working with. Assuming you see 'Linux LVM partition', we should be good to go. If you don't, you'll likely need to boot into a livecd version of fedora or partedmagic and use gparted to mess around with partitions.

Here's an example to illustrate (not actual fdisk output):

/dev/sda is 120 GB disk
/dev/sda1 is a small (<1GB) Linux partition (for kernel, bootloader)
/dev/sda2 is a 8 GB Linux LVM partition
/dev/sda3 is a 60 GB Linux partition

Interlude: In this example, there's plenty of free space (120 GB disk minus ~70 GB) and therefore things will be verrrry easy; however, if you don't have any free space, you'll either need to add another disk or delete/rearrange your existing partitions. A common case is installing Fedora in freespace after a Windows partition. If this is what you did, you could potentially use Windows' disk management tool to shrink the main Windows partition & filesystem, providing free space for fedora to grow into.

So--back to the example--where's the root partition and the swap space and home and all that?

Well that LVM partition is just raw storage--called a PV, or physical volume--providing the foundation for the LVM system. We can see this with the pvs command. One or more PVs can be used to build a pool of storage called a volume group. (Can see short info with the vgs command.) And then any number of virutal block devices can be partitioned out of a VG. These act just like normal partitions and are called logical volumes (run lvs).

In our example, lvs might show

  LV      VG         Attr   LSize
  lv_root vg_example -wi-ao  7.0g
  lv_swap vg_example -wi-ao  1.00g

In this example, it would be trivial to extend our root "parition" using the system-config-lvm gui (which you'll need to install with yum/packagekit) or a few terminal commands (as root). In a terminal, it could go like this:

First, using something like fdisk to create a new partition.

fdisk /dev/sda

(inside fdisk, one would use n to create a new partition, perhaps making it 30GB and then t to mark it as type 8e and then w to save changes)

Then:

pvcreate /dev/sda4
vgextend vg_example /dev/sda4

lvextend -L +30G /dev/vg_example/lv_root
OR
lvextend -l +100%FREE /dev/vg_example/lv_root

resize2fs /dev/vg_example/lv_root

Which was, in order: (1) tagging the new partition as a pv, so we can use it in this LVM scheme; (2) adding the new pv to our volume group (which extends our available pool of storage); (3) extending our logical volume (which is a container for our root filesystem); (4) and ... (more)